Search a number
-
+
212111202201102 = 232251174146635783
BaseRepresentation
bin110000001110100111111100…
…110111000010111000001110
31000211000122002101021021121200
4300032213330313002320032
5210300212220230413402
62031042312512410330
762451346216414131
oct6016477467027016
91024018071237550
10212111202201102
1161648945a07796
121b9586a45469a6
139148001260959
143a5434632a218
15197c7748ca21c
hexc0e9fcdc2e0e

212111202201102 has 96 divisors (see below), whose sum is σ = 461849124312576. Its totient is φ = 70354335240000.

The previous prime is 212111202201091. The next prime is 212111202201193. The reversal of 212111202201102 is 201102202111212.

212111202201102 is a `hidden beast` number, since 2 + 1 + 211 + 120 + 220 + 110 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36678399703 + ... + 36678405485.

It is an arithmetic number, because the mean of its divisors is an integer number (4810928378256).

Almost surely, 2212111202201102 is an apocalyptic number.

212111202201102 is an abundant number, since it is smaller than the sum of its proper divisors (249737922111474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212111202201102 is a wasteful number, since it uses less digits than its factorization.

212111202201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212111202201102 its reverse (201102202111212), we get a palindrome (413213404312314).

The spelling of 212111202201102 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred two million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 251 502 753 1506 1741 2259 3482 4518 4663 5223 5783 9326 10446 11566 13989 15669 17349 27978 31338 34698 41967 52047 83934 104094 436991 873982 1170413 1310973 1451533 2340826 2621946 2903066 3511239 3932919 4354599 7022478 7865838 8118283 8709198 10068203 10533717 13063797 16236566 20136406 21067434 24354849 26127594 26966129 30204609 48709698 53932258 60409218 73064547 80898387 90613827 146129094 161796774 181227654 242695161 485390322 2037689033 2527118953 4075378066 5054237906 6113067099 6768498379 7581356859 12226134198 13536996758 15162713718 18339201297 20305495137 22744070577 36678402594 40610990274 45488141154 46948030589 60916485411 93896061178 121832970822 140844091767 281688183534 422532275301 845064550602 11783955677839 23567911355678 35351867033517 70703734067034 106055601100551 212111202201102